GATE 2021: Toppers Mini Mock 3 (App update required to attempt this test) for ESE & GATE EE Exams

Question 1

In the options given below the word ‘SCRAPE’ has been used in four different ways. In one of these options, the usage is not correct or appropriate. Identify the option with incorrect or inappropriate usage of the word.

Question 2

Find the unit digit of: 1¹⁷ × 2¹⁵ × 3¹³ × 4¹¹ × 5⁹ × 6⁷ × 7⁵ × 8³ × 9?

Question 3

Rangan is appearing for a practical exam where there are a total of 20 experiments to choose from – names of these experiments are written on slips of paper. Rangan is prepared for 8 of the experiments only. Each student is asked to draw a slip and asked to perform the experiment written on the slip. What is the probability of getting an experiment known to Rangan if he is 2nd in sequence?

Question 4

Find the surface integral

over the sphere x² + y² + z² = 64 .

Question 5

The partial differential equation

is

Question 6Multiple Correct Options

Consider a series RLC circuit having Transfer function

. Then which of the following statement is/are correct?

Question 7

Find the fault current in p.u. for a single line to ground fault if the positive, negative and zero sequence currents are given as

. Assume zero fault impedance and system is operating at no load condition such that E=1.0 pu

Question 8Multiple Correct Options

Inductive reactance ‘X’ is a function of inductance ‘L’ and frequency f. The value of X increases when:

Question 9

An over current protection scheme is shown below, R₁ and R₂ are over current relays, and their pickup current settings are 8A.

The plug setting multipliers of both relays respectively.

Question 10

Three electric bulbs are filled in a room. Three bulbs are chosen at random from 10 bulbs having 6 good bulbs. What is the probability that the room is lighted?

Question 11

A sinusoidal signal

was sampled at a sampling frequency

The signal recovered from the sample was found to be

Then sampling frequency

is equal to:

Question 12Multiple Correct Options

Consider Nyquist plot (of a stable system) as shown in figure below:

Question 13

A single-phase semi converter is feeding separately excited DC motor from an AC supply of 240V, 60Hz. What is the motor torque (in N-m.) when back emf is 100V, speed 1000rpm and firing angle is 70°? Assume armature resistance 2Ω.

Question 14Multiple Correct Options

Which of the following statement is correct regarding armature winding?

Question 15

A 3-phase, synchronous generator is having synchronous impedance of 0.8 pu. It is supplying maximum real power of 0.7 pu at rated voltage. Its excitation emf is of 1.4 pu. Then the generator in this condition:

Question 16

If the Size of data bus is 16bits and the size of address bus is 20bits. Then the processor will be of:

Question 17

A moving iron voltmeter and PMMC voltmeter is connected across the voltage source whose instantaneous value is

. The sum of readings of MI and PMMC voltmeter is _______ volts.

Question 18

A 6600/440 V single phase transformer has an equivalent resistance of 0.02 p.u. and equivalent reactance of 0.05 p.u. Find the power factor of load for zero voltage regulation?

Question 19

A 100 KVA, 11500/2300 V, 1-ϕ transformer having iron loss 2 KW and full load copper loss 16 kW. The transformer is reconnected as autotransformer to maximize its kVA ratings and operating at half load and 0.8 p.f. lagging. Find the % efficiency of autotransformer.

Question 20

A 3-ϕ, 40 kW, 440 V, 4-pole, 50 Hz wound rotor Induction Motor is having rotor reactance 4 times of rotor resistance. Motor develops maximum torque of 400% of full load torque. The motor having mechanical loss of 2 kW and stator loss of 500 W. Find the full load efficiency of Induction motor.

Question 21

The generator which is shown in the fig is delivering 1 pu power.The infinite bus voltage is 1 pu and the voltage behing transient reactance is 1.05 pu.The system is subjected to 3 phase fault on point P. Calculate t_c .The number on the diagram are the pu reactance on a common system bus. Take H=5MJ/MVA and f=50 Hz.

Question 22

The meter constant for a three phase, 3 element integrating wattmeter is 0.12 revolution of disc per kwh. If the meter is normally used with a potential transformer of ratio 22000/110 V and a current transformer of ratio 500/5 A, the error expressed as a percentage of the current reading from the following test figure for the instrument only:

Line voltage = 100 V, current = 5.25 A, Power factor = 1, Time to complete 40 revolutions = 61 sec

Question 23Multiple Correct Options

Consider (2×1) MUX having select line as ‘A’. Then [Multiple Select Question]

Question 24Multiple Correct Options

Consider two causal LTI systems S₁ and S₂ that are cascaded.

S₁:

S₂:

Also,

Then which of the following option is/are correct?

Question 25

For the following circuit, phasor diagram is given. The value of resistance will be _____kΩ. (ω = 500 rad/sec).

Question 26

The input resistance R_in=v_x/i_x of the circuit in figure is

Question 27

A separately excited dc motor is controlled through a single quadrant dc chopper fed from a 230 V dc source. The on time and off time of the chopper are 10 ms and 15 ms respectively. The back emf constant of the motor is 0.5 V/rad/s and the armature resistance is R_a = 2Ω. The torque (in Nm) developed by the motor when it is running at speed of 1400 rpm will be

Question 28

A surge of 15 kV magnitude travel along a cable towards its function with an overhead line. The inductance and capacitance of the cable are 0.3 mH and 0.4

F per km respectively and those of overhead line are 1.5 mH, 0.012

F per km, respectively. The voltage rises at the function due to the surge will be ? (in kV)

Question 29Multiple Correct Options

The transfer function of a second order system is:

The settling time of the system is:

Question 30

A three-phase inverter operating in 120° mode is supplying power from a 400V DC source to a star connected load of resistance 10 Ω per phase. What is the RMS output line voltage considering first and fifth harmonic only (in volts)?

Question 31

In the sentence identify the segment which contains the grammatical error.

The police followed the thiefs for three hours but could not catch any of them.

Question 32

Pankaj could convince anyone with his talks as he had the gift of the gobbing. Correct the sentence, that will replace the underlined sentence is

Question 33

A three-phase transformer rated for 66 kV/11 kV is connected in Y/Δ and the protecting CTs on the LV side have a ratio of 400/5 .

The ratio of CTs on the HV side would be.